{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YAZR4ZOW2RNAJX5FPZGUTWRBLE","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"53d38a8756ac4682e562f97ac911bf9889f7e207ec63f9ada350ae2fb2794dca","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-05-24T18:38:02Z","title_canon_sha256":"b8a5161786cb126f8429e10a813aba6379ebebb6b42ed2a306cf1c34bbe95cff"},"schema_version":"1.0","source":{"id":"1605.07580","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.07580","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"arxiv_version","alias_value":"1605.07580v2","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07580","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"pith_short_12","alias_value":"YAZR4ZOW2RNA","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YAZR4ZOW2RNAJX5F","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YAZR4ZOW","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:b6d378745846bcc864e4a89a6000cdd36dc84f8eb023f2789e950f62560b2e76","target":"graph","created_at":"2026-05-18T00:45:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"For an admissible affine vertex algebra $V_k(\\mathfrak{g})$ of type $A$, we describe a new family of relaxed highest weight representations of $V_k(\\mathfrak{g})$. They are simple quotients of representations of the affine Kac-Moody algebra $\\widehat{\\mathfrak{g}}$ induced from the following $\\mathfrak{g}$-modules: 1) generic Gelfand-Tsetlin modules in the principal nilpotent orbit, in particular all such modules induced from $\\mathfrak{sl}_2$; 2) all Gelfand-Tsetlin modules in the principal nilpotent orbit which are induced from $\\mathfrak{sl}_3$; 3) all simple Gelfand-Tsetlin modules over $\\","authors_text":"Luis Enrique Ramirez, Tomoyuki Arakawa, Vyacheslav Futorny","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-05-24T18:38:02Z","title":"Weight representations of admissible affine vertex algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07580","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:331ef472003d74b64129a964495cba1d9747aef8e176edeb1590bf9608d58c99","target":"record","created_at":"2026-05-18T00:45:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"53d38a8756ac4682e562f97ac911bf9889f7e207ec63f9ada350ae2fb2794dca","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-05-24T18:38:02Z","title_canon_sha256":"b8a5161786cb126f8429e10a813aba6379ebebb6b42ed2a306cf1c34bbe95cff"},"schema_version":"1.0","source":{"id":"1605.07580","kind":"arxiv","version":2}},"canonical_sha256":"c0331e65d6d45a04dfa57e4d49da21593c89330307150fc52afe1ca21997a9a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0331e65d6d45a04dfa57e4d49da21593c89330307150fc52afe1ca21997a9a7","first_computed_at":"2026-05-18T00:45:49.410303Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:49.410303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v9lS9sQbQdEfSYJ9+bPTgn0Am2YtfC5cA7RJaXYZS3rezYFduO2qunO8hJ8UmpOw4U+hBqvVqVndpkRjuwguDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:49.411135Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.07580","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:331ef472003d74b64129a964495cba1d9747aef8e176edeb1590bf9608d58c99","sha256:b6d378745846bcc864e4a89a6000cdd36dc84f8eb023f2789e950f62560b2e76"],"state_sha256":"99ad1e1b2dc0f8a29e5f46ea243cbad11ed24025299428115896b3d1ed8815a9"}